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Finding the Fourth Proportional to 22,634.51, 33,963.00 and 10,163.34

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Solution

The fourth proportional to 22,634.51, 33,963.00 and 10,163.34 is: 15,250.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,634.51 : 33,963.00 = 10,163.34 : x
  2. Step 2: Convert to fraction form
    22,634.51/33,963.00 = 10,163.34/x
  3. Step 3: Cross multiply
    22,634.51x = 33,963.00 × 10,163.34
  4. Step 4: Simplify right side
    22,634.51x = 345,177,478.31
  5. Step 5: Solve for x
    x = 345,177,478.31/22,634.51
  6. Step 6: Final answer
    x = 15,250.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.